Number Systems

One or more correct

• A$Z = X + Y$
• B$Z = X - Y$
• C$Z = -X + Y$
• D$Z = -X - Y$

One or more correct

• A$N1 + N2$
• B$N2 + N3$
• C$N3 - N4$
• D$N1 + N4$

One or more correct

• A1000 1010 in 8-bits
• B1111 1010 in 8-bits
• C1000 0000 0000 1010 in 16-bits
• D1111 1111 1111 1010 in 16-bits

Single correct

• A$A + B$
• B$A - B$
• C$B - A$
• D$2 * B$

| Sign (1 bit) | Exponent (8 bits) | Mantissa (23 bits) |

Single correct

• ASign 0, Exponent 0111 1111, Mantissa 1111 1111 1111 1111 1111 111
• BSign 0, Exponent 1111 1110, Mantissa 1111 1111 1111 1111 1111 111
• CSign 0, Exponent 1111 1111, Mantissa 1111 1111 1111 1111 1111 111
• DSign 0, Exponent 0111 1111, Mantissa 0000 0000 0000 0000 0000 000

One or more correct

• A64 in radix-10
• B100 in radix-8
• C50 in radix-16
• D121 in radix-7

Numerical answer

Answer key coming soon

Single correct

• AR1 = 1011 and R2 = 1110
• BR1 = 1100 and R2 = 1010
• CR1 = 0011 and R2 = 0100
• DR1 = 1001 and R2 = 1111

Answer key coming soon

Single correct

• A15
• B21
• CD2
• D528

Answer key coming soon

Numerical answer

Answer key coming soon

Single correct

• A1111 1111 0001 1100
• B0000 0000 1110 0100
• C1111 1111 1110 0100
• D1000 0000 1110 0100

Single correct

• A$n$ bits
• B$n - 1$ bits
• C$n + 1$ bits
• D$n + 2$ bits

Single correct

• ANone of (i), (ii), (iii), (iv) can be exactly represented
• BOnly (ii) cannot be exactly represented
• COnly (iii) and (iv) cannot be exactly represented
• DOnly (i) and (ii) cannot be exactly represented

Single correct

• A$2^{-f}$ to $2^i$
• B$2^{-f}$ to $(2^i - 2^{-f})$
• C0 to $2^i$
• D0 to $(2^i - 2^{-f})$

Answer key coming soon

Single correct

• A571244
• B736251
• C571247
• D136251

Answer key coming soon

Numerical answer

Answer key coming soon

Numerical answer

Answer key coming soon

Numerical answer

Answer key coming soon

Numerical answer

Numerical answer