Question

Subjective I. Convert the following to their binary equivalents: 1. (1001110)2 3. (10001101)2 2. (1100011)2 4. (1111011)2​

Answer 1

Answer:

1) 78

3) 141

2) 99

4) 123

Explanation:

Step 1: Write down the binary number:

1111011

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x26 + 1x25 + 1x24 + 1x23 + 0x22 + 1x21 + 1x20

Step 3: Solve the powers:

1x64 + 1x32 + 1x16 + 1x8 + 0x4 + 1x2 + 1x1 = 64 + 32 + 16 + 8 + 0 + 2 + 1

Step 4: Add up the numbers written above:

64 + 32 + 16 + 8 + 0 + 2 + 1 = 123. This is the decimal equivalent of the binary number 1111011.