What is the decimal value of 0 times 12 assuming unsigned fo

What is the decimal value of 0 times 12, assuming unsigned format? Show your work: What is the decimal value of 0 times FE, assuming 2s-compliment form? Show your work: What is the hex value of 0 times 12 | 0 times 34? Show your work: What is the hex value of 0 times 56 & 0 times 78? Show your work:

Solution

1. 0x12 = 0001 0010₂ = 2¹ + 2⁴ = 2 + 16 = 18₁₀.

2. 0xFE = 1111 1110₂. Here the leading bit is 1, and as this is a signed number, and a leading 1 represents a negative number. So, 2\'s complementing it will give the value of: 0000 0001 + 1 = -0000 0010₂ = 2¹ = -2₁₀.

3. 0x12 | 0x34 = 0001 0010₂ | 0011 0100₂ = 0011 0110₂ = 2¹ + 2² + 2⁴ + 2⁵ = 2 + 4 + 16 + 32 = 54₁₀ = 0x36.

4. 0x56 & 0x78 = 0101 0110₂ & 0111 1000₂ = 0101 0000₂ = 2⁴ + 2⁶ = 16 + 64 = 80₁₀ = 0x50.