Question

Convert the following:

1. (111000)2 = (?)10

2. (936)10 = (?)2

3. (52)10 = (?)2

please fast i have a test soon today need to do revision ​

Answer 1

1.Step by step solution

Step 1: Write down the binary number:

111000

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

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

Step 3: Solve the powers:

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

Step 4: Add up the numbers written above:

32 + 16 + 8 + 0 + 0 + 0 = 56.

So, 56 is the decimal equivalent of the binary number 111000.

2.Binary :11101010002

Octal :16508

Hex :3A816

3. 52 in Binary: 52₁₀ = 110100₂

52 in Octal: 52₁₀ = 64₈

52 in Hexadecimal: 52₁₀ = 34₁₆

110100₂ in Decimal: 52₁₀