How do you convert a binary number to decimal?

Multiply each digit by the power of 2 for its position, starting from 2^0 on the right, then add the results. For example, 101 = (1 x 4) + (0 x 2) + (1 x 1) = 5.

What is the binary representation of 150?

According to the chart, 150 is written in binary as 10010110.

Binary Code Chart: Numbers 1 to 150 with Conversion Examples

Summary

This chart lists the binary representations of the numbers 1 to 150 and explains how binary digits represent powers of 2. It includes a worked example converting 101 to decimal and a short list of common bitwise operations. Students will learn how to read and convert binary numbers.

Key points

Binary uses only the digits 0 and 1, and each position represents a power of 2, starting from 2^0 on the right.
The binary number 101 equals 4 + 0 + 1 = 5 in decimal.
The chart gives binary values for every number from 1 to 150, for example 26 = 11010 and 150 = 10010110.
Binary is the fundamental language of computers for representing all data.

Test yourself

Binary Code Chart: 1 to 150

This chart provides a comprehensive list of numbers from 1 to 150 and their corresponding binary representations. Binary code is the fundamental language of computers, using only two digits, 0 and 1, to represent all data.

Understanding Binary Numbers

Each digit in a binary number represents a power of 2, starting from 2⁰ (which is 1) on the rightmost digit and increasing by powers of 2 as you move to the left. For example, the binary number 101 represents:

(1 * 2²) = 4
(0 * 2¹) = 0
(1 * 2⁰) = 1

Adding these values together: 4 + 0 + 1 = 5. Therefore, the binary number 101 is equivalent to the decimal number 5.

Binary Chart (1-150)

Here's the binary representation for numbers 1 through 150:

1 = 1, 26 = 11010, 51 = 110011, 76 = 1001100, 101 = 1100101
2 = 10, 27 = 11011, 52 = 110100, 77 = 1001101, 102 = 1100110
3 = 11, 28 = 11100, 53 = 110101, 78 = 1001110, 103 = 1100111
4 = 100, 29 = 11101, 54 = 110110, 79 = 1001111, 104 = 1101000
5 = 101, 30 = 11110, 55 = 110111, 80 = 1010000, 105 = 1101001
6 = 110, 31 = 11111, 56 = 111000, 81 = 1010001, 106 = 1101010
7 = 111, 32 = 100000, 57 = 111001, 82 = 1010010, 107 = 1101011
8 = 1000, 33 = 100001, 58 = 111010, 83 = 1010011, 108 = 1101100
9 = 1001, 34 = 100010, 59 = 111011, 84 = 1010100, 109 = 1101101
10 = 1010, 35 = 100011, 60 = 111100, 85 = 1010101, 110 = 1101110
11 = 1011, 36 = 100100, 61 = 111101, 86 = 1010110, 111 = 1101111
12 = 1100, 37 = 100101, 62 = 111110, 87 = 1010111, 112 = 1110000
13 = 1101, 38 = 100110, 63 = 111111, 88 = 1011000, 113 = 1110001
14 = 1110, 39 = 100111, 64 = 1000000, 89 = 1011001, 114 = 1110010
15 = 1111, 40 = 101000, 65 = 1000001, 90 = 1011010, 115 = 1110011
16 = 10000, 41 = 101001, 66 = 1000010, 91 = 1011011, 116 = 1110100
17 = 10001, 42 = 101010, 67 = 1000011, 92 = 1011100, 117 = 1110101
18 = 10010, 43 = 101011, 68 = 1000100, 93 = 1011101, 118 = 1110110
19 = 10011, 44 = 101100, 69 = 1000101, 94 = 1011110, 119 = 1110111
20 = 10100, 45 = 101101, 70 = 1000110, 95 = 1011111, 120 = 1111000
21 = 10101, 46 = 101110, 71 = 1000111, 96 = 1100000, 121 = 1111001
22 = 10110, 47 = 101111, 72 = 1001000, 97 = 1100001, 122 = 1111010
23 = 10111, 48 = 110000, 73 = 1001001, 98 = 1100010, 123 = 1111011
24 = 11000, 49 = 110001, 74 = 1001010, 99 = 1100011, 124 = 1111100
25 = 11001, 50 = 110010, 75 = 1001011, 100 = 1100100, 125 = 1111101

126 = 1111110, 131 = 10000011, 136 = 10001000, 141 = 10001101, 146 = 10010010
127 = 1111111, 132 = 10000100, 137 = 10001001, 142 = 10001110, 147 = 10010011

128 = 10000000, 133 = 10000101, 138 = 10001010, 143 = 10001111, 148 = 10010100
129 = 10000001, 134 = 10000110, 139 = 10001011, 144 = 10010000, 149 = 10010101
130 = 10000010, 135 = 10000111, 140 = 10001100, 145 = 10010001, 150 = 10010110

Common Bitwise Operations

These are some fundamental bitwise operations used in programming and computer logic:

ADD (00): Performs binary addition.
CMP (01): Compares two binary numbers.
MOV (10): Moves or copies data.
BEQ (11): Branch if equal (used for conditional logic).

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