Exercise and low carb?

[Rollerbird]

Does anyone know if you still have enough energy for cardio and strength work at the gym on a low carb diet?
I want to try and shed about a stone but continue to work out. I'm worried about feeling weak and light headed
Anyone got experience?

I do 4 Caroline Girvan work outs and two 5 k runs per week. No issues though I did feel a bit weak around day 5 to 10. I do low glycaemic rather than strict keto. My OH does keto and the same exercise regime with no issues.